paper

Integer Area Dissections of Lattice Polygons via a Non-Abelian Sperner's Lemma

arXiv:2409.15178

Abstract

We give a simple and complete description of those convex lattice polygons in the plane that can be dissected into lattice triangles of integer area. A new version of Sperner's Lemma plays a central role.

19 pages, 10 figures, 17 references